Gerold Alsmeyer

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All published works

Action	Title	Year	Authors
+ PDF Chat	The Derrida-Retaux model on a geometric Galton-Watson tree	2025	Gerold Alsmeyer Yueyun Hu Bastien Mallein
+ PDF Chat	A two-size Wright-Fisher Model: asymptotic Analysis via Uniform Renewal Theory	2025	Gerold Alsmeyer Fernando Cordero Hannah Dopmeyer
+	On Decoupled Standard Random Walks	2024	Gerold Alsmeyer Alexander Iksanov Zakhar Kabluchko
+ PDF Chat	On decoupled standard random walks	2024	Gerold Alsmeyer Alexander Iksanov Zakhar Kabluchko
+ PDF Chat	Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials	2023	Gerold Alsmeyer Alin Bostan Kilian Raschel Thomas Simon
+ PDF Chat	Recurrence and transience of random difference equations in the critical case	2023	Gerold Alsmeyer Alexander Iksanov
+ PDF Chat	On Null-Homology and Stationary Sequences	2023	Gerold Alsmeyer Chiranjib Mukherjee
+ PDF Chat	Asymptotically linear iterated function systems on the real line	2023	Gerold Alsmeyer Sara Brofferio Dariusz Buraczewski
+ PDF Chat	A Simple Method to Find All Solutions to the Functional Equation of the Smoothing Transform	2022	Gerold Alsmeyer Bastien Mallein
+ PDF Chat	Linear Fractional Galton–Watson Processes in Random Environment and Perpetuities	2021	Gerold Alsmeyer
+	Linear fractional Galton-Watson processes in random environment and perpetuities	2021	Gerold Alsmeyer
+	Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials	2021	Gerold Alsmeyer Alin Bostan Kilian Raschel Thomas Simon
+	Linear fractional Galton-Watson processes in random environment and perpetuities	2021	Gerold Alsmeyer
+	Asymptotically linear iterated function systems on the real line	2021	Gerold Alsmeyer Sara Brofferio Dariusz Buraczewski
+	Recurrence and transience of random difference equations in the critical case	2021	Gerold Alsmeyer Alexander Iksanov
+ PDF Chat	How long is the convex minorant of a one-dimensional random walk?	2020	Gerold Alsmeyer Zakhar Kabluchko Alexander Marynych Vladislav Vysotsky
+ PDF Chat	Limit theorems for the least common multiple of a random set of integers	2019	Gerold Alsmeyer Zakhar Kabluchko Alexander Marynych
+ PDF Chat	The extinction problem for a distylous plant population with sporophytic self-incompatibility	2019	Gerold Alsmeyer Kilian Raschel
+	On Null-homology and stationary sequences	2019	Gerold Alsmeyer Chiranjib Mukherjee
+ PDF Chat	Ladder epochs and ladder chain of a Markov random walk with discrete driving chain	2018	Gerold Alsmeyer
+ PDF Chat	The extinction problem for a class of distylous plant populations	2018	Gerold Alsmeyer Kilian Raschel
+	An arcsine law for Markov random walks	2018	Gerold Alsmeyer Fabian Buckmann
+	Limit theorems for the least common multiple of a random set of integers	2018	Gerold Alsmeyer Zakhar Kabluchko Alexander Marynych
+	Limit theorems for the least common multiple of a random set of integers	2018	Gerold Alsmeyer Zakhar Kabluchko Alexander Marynych
+ PDF Chat	Null recurrence and transience of random difference equations in the contractive case	2017	Gerold Alsmeyer Dariusz Buraczewski Alexander Iksanov
+	A leader-election procedure using records	2017	Gerold Alsmeyer Zakhar Kabluchko Alexander Marynych
+ PDF Chat	Fluctuation Theory for Markov Random Walks	2017	Gerold Alsmeyer Fabian Buckmann
+	An Arcsine Law for Markov Random Walks	2017	Gerold Alsmeyer Fabian Buckmann
+	Thin tails of fixed points of the nonhomogeneous smoothing transform	2017	Gerold Alsmeyer Piotr Dyszewski
+ PDF Chat	Stability of perpetuities in Markovian environment	2017	Gerold Alsmeyer Fabian Buckmann
+	An Arcsine Law for Markov Random Walks	2017	Gerold Alsmeyer Fabian Buckmann
+	Null-recurrence and transience of random difference equations in the contractive case	2016	Gerold Alsmeyer Dariusz Buraczewski Alexander Iksanov
+ PDF Chat	Renewal approximation for the absorption time of a decreasing Markov chain	2016	Gerold Alsmeyer Alexander Marynych
+	Fluctuation theory for Markov random walks	2016	Gerold Alsmeyer Fabian Buckmann
+	Leader election using random walks	2016	Gerold Alsmeyer Zakhar Kabluchko Alexander Marynych
+ PDF Chat	Functional limit theorems for the number of occupied boxes in the Bernoulli sieve	2016	Gerold Alsmeyer Alexander Iksanov Alexander Marynych
+	Functional limit theorems for the number of occupied boxes in the Bernoulli sieve	2016	Gerold Alsmeyer Alexander Iksanov Alexander Marynych
+	Leader election using random walks	2016	Gerold Alsmeyer Zakhar Kabluchko Alexander Marynych
+	Leader election using random walks	2016	Gerold Alsmeyer Zakhar Kabluchko Alexander Marynych
+	Null-recurrence and transience of random difference equations in the contractive case	2016	Gerold Alsmeyer Dariusz Buraczewski Alexander Iksanov
+	Fluctuation theory for Markov random walks	2016	Gerold Alsmeyer Fabian Buckmann
+	Functional limit theorems for the number of occupied boxes in the Bernoulli sieve	2016	Gerold Alsmeyer Alexander Iksanov Alexander Marynych
+	Branching within branching: A model for host–parasite co-evolution	2015	Gerold Alsmeyer Sören Gröttrup
+	A leader-election procedure using records	2015	Gerold Alsmeyer Zakhar Kabluchko Alexander Marynych
+	Ladder epochs and ladder chain of a Markov random walk with discrete driving chain	2015	Gerold Alsmeyer
+	Thin tails of fixed points of the nonhomogeneous smoothing transform	2015	Gerold Alsmeyer Piotr Dyszewski
+	Renewal approximation for the absorption time of a decreasing Markov chain	2015	Gerold Alsmeyer Alexander Marynych
+	On the stationary tail index of iterated random Lipschitz functions	2015	Gerold Alsmeyer
+	Branching within branching I: The extinction problem	2015	Gerold Alsmeyer Sören Gröttrup
+	Branching within branching II: Limit theorems	2015	Gerold Alsmeyer Sören Gröttrup
+	Renewal approximation for the absorption time of a decreasing Markov chain	2015	Gerold Alsmeyer Alexander Marynych
+	A leader-election procedure using records	2015	Gerold Alsmeyer Zakhar Kabluchko Alexander Marynych
+	Ladder epochs and ladder chain of a Markov random walk with discrete driving chain	2015	Gerold Alsmeyer
+	Thin tails of fixed points of the nonhomogeneous smoothing transform	2015	Gerold Alsmeyer Piotr Dyszewski
+ PDF Chat	Quasistochastic matrices and Markov renewal theory	2014	Gerold Alsmeyer
+ PDF Chat	Quasistochastic matrices and Markov renewal theory	2014	Gerold Alsmeyer
+	Markov renewal theory for quasi-stochastic matrices	2013	Gerold Alsmeyer
+ PDF Chat	A Host-Parasite Model for a Two-Type Cell Population	2013	Gerold Alsmeyer Sören Gröttrup
+ PDF Chat	A Host-Parasite Model for a Two-Type Cell Population	2013	Gerold Alsmeyer Sören Gröttrup
+ PDF Chat	Power and Exponential Moments of the Number of Visits and Related Quantities for Perturbed Random Walks	2013	Gerold Alsmeyer Alexander Iksanov Matthias Meiners
+	The Smoothing Transform: A Review of Contraction Results	2013	Gerold Alsmeyer
+ PDF Chat	Precise Tail Index of Fixed Points of the Two-Sided Smoothing Transform	2013	Gerold Alsmeyer Ewa Damek Sebastian Mentemeier
+	Quasi-stochastic matrices and Markov renewal theory	2013	Gerold Alsmeyer
+	Random matrices and iterated random functions : Münster, October 2011	2013	Gerold Alsmeyer Matthias Löwe
+	The functional equation of the smoothing transform	2012	Gerold Alsmeyer J. D. Biggins Matthias Meiners
+	Metabasins - a State Space Aggregation for highly disordered Energy Landscapes	2012	Gerold Alsmeyer Andrea Winkler
+	A host-parasite model for a two-type cell population	2012	Gerold Alsmeyer Sören Gröttrup
+	Precise tail index of fixed points of the two-sided smoothing transform	2012	Gerold Alsmeyer Ewa Damek Sebastian Mentemeier
+	Power and exponential moments of the number of visits and related quantities for perturbed random walks	2011	Gerold Alsmeyer Alexander Iksanov Matthias Meiners
+ PDF Chat	Fixed points of inhomogeneous smoothing transforms	2011	Gerold Alsmeyer Matthias Meiners
+ PDF Chat	Tail behaviour of stationary solutions of random difference equations: the case of regular matrices	2011	Gerold Alsmeyer Sebastian Mentemeier
+	Chebyshev's Inequality.	2011	Gerold Alsmeyer
+	Power and exponential moments of the number of visits and related quantities for perturbed random walks	2011	Gerold Alsmeyer Alexander Iksanov Matthias Meiners
+	Chebyshev’s Inequality	2011	Gerold Alsmeyer
+	Branching processes in stationary random environment: The extinction problem revisited	2010	Gerold Alsmeyer
+	Fixed points of the smoothing transform: Two-sided solutions	2010	Gerold Alsmeyer Matthias Meiners
+	Fixed Points of the Min-Transformation	2009	Matthias Meiners Gerold Alsmeyer
+	A min-type stochastic fixed-point equation related to the smoothing transformation	2009	Gerold Alsmeyer Matthias Meiners
+ PDF Chat	A Log-Type Moment Result for Perpetuities and Its Application to Martingales in Supercritical Branching Random Walks	2009	Gerold Alsmeyer Alexander Iksanov
+	Exponential rate of L_p-convergence of intrinsic martingales in supercritical branching random walks	2009	Gerold Alsmeyer Alexander Iksanov Sergej Polotsky Uwe Roesler
+	Double martingale structure and existence of -moments for weighted branching processes	2009	Gerold Alsmeyer Dirk Kuhlbusch
+ PDF Chat	On Distributional Properties of Perpetuities	2008	Gerold Alsmeyer Alexander Iksanov Uwe Rösler
+ PDF Chat	A stochastic fixed point equation for weighted minima and maxima	2008	Gerold Alsmeyer Uwe Rösler
+ PDF Chat	A Note on the Transience of Critical Branching Random Walks on the Line	2008	Gerold Alsmeyer Matthias Meiners
+	On distributional properties of perpetuities	2008	Gerold Alsmeyer Alexander Iksanov Uwe Roesler
+	A log-type moment result for perpetuities and its application to martingales in supercritical branching random walks	2008	Gerold Alsmeyer Alexander Iksanov
+	Maximal phi-Inequalities for Nonnegative Submartingales	2006	Gerold Alsmeyer Uwe Rösler
+ PDF Chat	A Stochastic Fixed Point Equation Related to Weighted Branching with Deterministic Weights	2006	Gerold Alsmeyer Uwe Rösler
+ PDF Chat	The Martin entrance boundary of the Galton–Watson process	2005	Gerold Alsmeyer Uwe Rösler
+	Discrete-Time Branching Processes	2005	Gerold Alsmeyer
+	Runs in superpositions of renewal processes with applications to discrimination	2005	Gerold Alsmeyer Albrecht Irle
+	LIMIT THEOREMS FOR SUBCRITICAL AGE-DEPENDENT BRANCHING PROCESSES WITH TWO TYPES OF IMMIGRATION	2005	Gerold Alsmeyer Maroussia Slavtchova-Bojkova
+	Maximal phi (variant)-Inequalities for Nonnegative Submartingales	2005	Gerold Alsmeyer
+ PDF Chat	Maximal $\phi$-inequalities for nonnegative submartingales	2005	Uwe Rösler Uwe Rösler Gerold Alsmeyer Gerold Alsmeyer
+	On the Existence of ?-Moments of the Limit of a Normalized Supercritical Galton?Watson Process	2004	Gerold Alsmeyer U. R�sler
+	Markov Renewal Theory for Stationary (<b><i>m</i></b> + 1)-Block Factors: First Passage Time and Overshoot	2004	Gerold Alsmeyer Volker Hoefs
+	The best constant in the Topchii–Vatutin inequality for martingales	2003	Gerold Alsmeyer Uwe Rösler
+	None	2003	Gerold Alsmeyer
+	On the existence of moments of stopped sums in Markov renewal theory	2003	Gerold Alsmeyer
+	Markov renewal theory for stationary (m+1)-block factors: convergence rate results	2002	Gerold Alsmeyer Volker Hoefs
+ PDF Chat	Asexual Versus Promiscuous Bisexual Galton-Watson Processes: The Extinction Probability Ratio	2002	Gerold Alsmeyer Uwe Rösler
+	None	2002	Gerold Alsmeyer
+	Two comparison theorems for nonlinear first passage times and their linear counterparts	2001	Gerold Alsmeyer
+	Limit theorems for iterated random functions by regenerative methods	2001	Gerold Alsmeyer Cheng–Der Fuh
+	Limit Theorems for Stopped Functionals of Markov Renewal Processes	1999	Gerold Alsmeyer Allan Gut
+	ON THE TAIL BEHAVIOUR OF THE SUPREMUM OF A RANDOM WALK DEFINED ON A MARKOV CHAIN	1999	Gerold Alsmeyer М. С. Сгибнев
+ PDF Chat	The bisexual Galton-Watson process with promiscuous mating: extinction probabilities in the supercritical case	1996	Gerold Alsmeyer Uwe Rösler
+	Superposed continuous renewal processes A Markov renewal approach	1996	Gerold Alsmeyer
+	Nonnegativity of odd functional moments of positive random variables with decreasing density	1996	Gerold Alsmeyer
+	Random Walks with Stochastically Bounded Increments: Renewal Theory	1995	Gerold Alsmeyer
+	On the Markov renewal theorem	1994	Gerold Alsmeyer
+	Blackwell's renewal theorem for certain linear submartingales and coupling	1994	Gerold Alsmeyer
+ PDF Chat	A recurrence theorem for square-integrable martingales	1994	Gerold Alsmeyer
+ PDF Chat	On the Galton-Watson Predator-Prey Process	1993	Gerold Alsmeyer
+ PDF Chat	On Generalized Renewal Measures and Certain First Passage Times	1992	Gerold Alsmeyer
+	Some relations between harmonic renewal measures and certain first passage times	1991	Gerold Alsmeyer
+	Einführung in die Fourier-Analyse	1991	Gerold Alsmeyer
+	Convergence rates in the law of large numbers for martingales	1990	Gerold Alsmeyer
+	Optimal strategies for discovering new species in continuous time	1989	Gerold Alsmeyer Albrecht Irle
+	Optimal strategies for discovering new species in continuous time	1989	Gerold Alsmeyer Albrecht Irle
+	Second-order approximations for certain stopped sums in extended renewal theory	1988	Gerold Alsmeyer
+	Second-order approximations for certain stopped sums in extended renewal theory	1988	Gerold Alsmeyer
+	On the Variance of First Passage Times in the Exponential Case	1988	Gerold Alsmeyer
+	On Central Limit Theorems and Uniform Integrability for Certain Stopped Linear Sum Processes	1987	Gerold Alsmeyer
+	On the moments of certain first passage times for linear growth processes	1987	Gerold Alsmeyer
+	Asymptotic expansions for the variance of stopping times in nonlinear renewal theory	1986	Gerold Alsmeyer Albrecht Irle
+	Parameter-dependent renewal theorems with applications	1986	Gerold Alsmeyer

Common Coauthors

Coauthor	Papers Together
Alexander Iksanov	18
Alexander Marynych	16
Zakhar Kabluchko	12
Matthias Meiners	9
Uwe Rösler	7
Fabian Buckmann	7
Sören Gröttrup	6
Dariusz Buraczewski	5
Kilian Raschel	4
Albrecht Irle	4
Sebastian Mentemeier	3
Piotr Dyszewski	3
Volker Hoefs	2
Uwe Roesler	2
Thomas Simon	2
Ewa Damek	2
Chiranjib Mukherjee	2
Sara Brofferio	2
Bastien Mallein	2
Uwe Rösler	2
Dirk Kuhlbusch	1
Matthias Löwe	1
Alin Bostan	1
Fernando Cordero	1
Maroussia Slavtchova-Bojkova	1
Yueyun Hu	1
Allan Gut	1
М. С. Сгибнев	1
Hannah Dopmeyer	1
Sergej Polotsky	1
U. R�sler	1
Andrea Winkler	1
Vladislav Vysotsky	1
Alin Bostan	1
Cheng–Der Fuh	1
J. D. Biggins	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Stability of perpetuities	2000	Charles M. Goldie Ross Maller	21
+ PDF Chat	Seneta-Heyde norming in the branching random walk	1997	J. D. Biggins Andreas E. Kyprianou	12
+ PDF Chat	On Distributional Properties of Perpetuities	2008	Gerold Alsmeyer Alexander Iksanov Uwe Rösler	12
+ PDF Chat	Limit Theorems for Semi-Markov Processes and Renewal Theory for Markov Chains	1978	Krishna B. Athreya David McDonald Peter Ney	11
+ PDF Chat	Random difference equations and Renewal theory for products of random matrices	1973	Harry Kesten	11
+ PDF Chat	Implicit Renewal Theory and Tails of Solutions of Random Equations	1991	Charles M. Goldie	11
+ PDF Chat	On the Moments and Limit Distributions of Some First Passage Times	1974	Allan Gut	11
+ PDF Chat	Renewal theorem for a class of stationary sequences	1986	Steven P. Lalley	11
+ PDF Chat	Fixed points of the smoothing transformation	1983	Richard Durrett Thomas M. Liggett	10
+ PDF Chat	Iterated random functions	2017	Persi Diaconis David A. Freedman	10
+ PDF Chat	Measure change in multitype branching	2004	J. D. Biggins Andreas E. Kyprianou	10
+	Martingale convergence in the branching random walk	1977	J. D. Biggins	10
+ PDF Chat	Iterated Random Functions	1999	Persi Diaconis David A. Freedman	9
+ PDF Chat	A survey of max-type recursive distributional equations	2005	David Aldous Antar Bandyopadhyay	9
+	A Simple Path to Biggins’ Martingale Convergence for Branching Random Walk	1997	Russell Lyons	9
+	On a stochastic difference equation and a representation of non–negative infinitely divisible random variables	1979	Wim Vervaat	9
+ PDF Chat	Probability Theory: Independence, Interchangeability, Martingales	1998	Robert Lund Y. S. Chow Henry Teicher	9
+ PDF Chat	On Branching Processes with Random Environments: I: Extinction Probabilities	1971	Krishna B. Athreya Samuel Karlin	8
+ PDF Chat	A Log-Type Moment Result for Perpetuities and Its Application to Martingales in Supercritical Branching Random Walks	2009	Gerold Alsmeyer Alexander Iksanov	8
+	Fixed points of a generalized smoothing transformation and applications to the branching random walk	1998	Quansheng Liu	8
+ PDF Chat	A limit theorem for “quicksort”	1991	Uwe Rösler	7
+	The best constant in the Topchii–Vatutin inequality for martingales	2003	Gerold Alsmeyer Uwe Rösler	7
+ PDF Chat	Fixed Points of the Smoothing Transform: the Boundary Case	2005	J. D. Biggins Andreas E. Kyprianou	7
+ PDF Chat	A Nonlinear Renewal Theory with Applications to Sequential Analysis I	1977	Tze Leung Lai David Siegmund	7
+	Théorèmes limites pour des processus de branchement sous-critiques en environnement aléatoire	2003	J. Geiger	7
+	Moments for first-passage and last-exit times, the minimum, and related quantities for random walks with positive drift	1986	Svante Janson	7
+	Stochastic Models with Power-Law Tails	2016	Dariusz Buraczewski Ewa Damek Thomas Mikosch	7
+	A multiplicative ergodic theorem for lipschitz maps	1990	John H. Elton	7
+ PDF Chat	Branching Processes with Random Environments, II: Limit Theorems	1971	Krishna B. Athreya Samuel Karlin	6
+	Markov renewal theory	1969	Erhan Çınlar	6
+	On the Theory of Markov Renewal	1985	V. M. Shurenkov	6
+ PDF Chat	One-dimensional linear recursions with Markov-dependent coefficients	2007	Alexander Roitershtein	6
+ PDF Chat	Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees	2009	Yueyun Hu Zhan Shi	6
+ PDF Chat	A new approach to the limit theory of recurrent Markov chains	1978	Krishna B. Athreya Peter Ney	6
+ PDF Chat	Elementary fixed points of the BRW smoothing transforms with infinite number of summands	2004	Alexander Iksanov	6
+	Branching Processes	1972	Krishna B. Athreya Peter Ney	6
+ PDF Chat	Renewal Theory for $M$-Dependent Variables	1983	Svante Janson	6
+ PDF Chat	The strong law of large numbers when the mean is undefined	1973	K. Bruce Erickson	6
+ PDF Chat	Growth rates in the branching random walk	1979	J. D. Biggins	6
+	The functional equation of the smoothing transform	2012	Gerold Alsmeyer J. D. Biggins Matthias Meiners	6
+ PDF Chat	Some moment results about the limit of a martingale related to the supercritical branching random walk and perpetuities	2006	Alexander Iksanov Uwe Rösler	5
+ PDF Chat	Cell contamination and branching processes in a random environment with immigration	2009	Vincent Bansaye	5
+	Logarithmic Combinatorial Structures: A Probabilistic Approach	2003	Richard Arratia A. D. Barbour Simon Tavaré	5
+	Convergence in law of the minimum of a branching random walk	2013	Élie Aïdékon	5
+	On generalized multiplicative cascades	2000	Quansheng Liu	5
+	Limit theorems for the number of occupied boxes in the Bernoulli sieve	2010	Alexander Gnedin Alexander Iksanov Oleksandr Marynych	5
+	Superposed continuous renewal processes A Markov renewal approach	1996	Gerold Alsmeyer	5
+	Perpetuities with thin tails	1996	Charles M. Goldie Rudolf Grübel	5
+	On weighted branching processes in random environment	2003	Dirk Kuhlbusch	5
+	On the Existence of ?-Moments of the Limit of a Normalized Supercritical Galton?Watson Process	2004	Gerold Alsmeyer U. R�sler	5